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Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the definition of a derivative. f '(x) = Ilm f(x + Ax)-f(x) Ax

Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the definition of a derivative. f '(x) = Ilm f(x + Ax)-f(x) Ax

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the definition of a derivative. f '(x) = f'(x) = lim_ Ax-o = Ilm Step 2 Use the definition for the function above to find the derivative. - (x + Ax)² - (1 Ax xAx- (Ax)² - Ax Ax-0 = Ilm 14 - x² lim (1 Ax-o Ax-a xAx- (Ax)² Ax x-Ax) 0 f(x + Ax)-f(x) - x²) F"(x) = -2x
Transcribed Image Text:Tutorial Exercise Find the derivative by the limit process. f(x) = 14 - x² Step 1 Complete the definition of a derivative. f '(x) = f'(x) = lim_ Ax-o = Ilm Step 2 Use the definition for the function above to find the derivative. - (x + Ax)² - (1 Ax xAx- (Ax)² - Ax Ax-0 = Ilm 14 - x² lim (1 Ax-o Ax-a xAx- (Ax)² Ax x-Ax) 0 f(x + Ax)-f(x) - x²) F"(x) = -2x
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